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Finding the Fourth Proportional to 43,776, 65,686.56 and 24,070.08

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Solution

The fourth proportional to 43,776, 65,686.56 and 24,070.08 is: 36,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,776 : 65,686.56 = 24,070.08 : x
  2. Step 2: Convert to fraction form
    43,776/65,686.56 = 24,070.08/x
  3. Step 3: Cross multiply
    43,776x = 65,686.56 × 24,070.08
  4. Step 4: Simplify right side
    43,776x = 1,581,080,754.12
  5. Step 5: Solve for x
    x = 1,581,080,754.12/43,776
  6. Step 6: Final answer
    x = 36,117.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.